# Question

Packets of assorted candies were sold in 2 different sizes – standard and large. The large packet contained twice as many candies as the standard packet. In the standard packet, the ratio of the number of coconut candies to the number of strawberry candies were 4:5. In the large packet, the ratio of the number of coconut candies to the number of strawberry candies to the number of toffee candies was 1: 2: 3.

A family bought 1 standard and 1 large packet.

(a) What was the ratio of the number of coconut candies to the number of strawberry candies to the number of toffee candies?

(b) The family ate 21 candies. As a result, the ratio of the number of coconut candies to the number of strawberry candies to the number of toffee candies became 2: 3: 3. How many candies were left?

The answers given in the worksheet are a) 7:1:8 and b) 168.
But, my answer for a) was 7:11:9. You may want to try it out.

Source: Ai Tong School, P6, SA1, Q43, 2007

Test

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Large packet
c:s:t
= 1:2:3

Standard packet
c:s
4:5

Large packet contains 2x as many candies as standard packet.
No. of units (standard packet) = 9
no. of units (large packet) = 9 *2 = 18
therefore, c:s:t = 3:6:9

(a) 1 standard + 1 large, c:s:t = 7:11:9

(b)
before eating : c:s:t = 7:11:9
after eating 21 candies, c:s:t = 2:3:3 = 6:9:9

No toffee candies are eaten
18u – 15u = 21
3u = 21
u =7
candies left = 24*7 = 168.

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